# Just hanging around - part3

**Classical Mechanics**Level 5

Find the value of \(a+b+c\).

**Details and Assumptions**:

Treat the pulley as a disc.

The block and pulley are oscillating in the same phase with the same frequency.

Pulley has sufficient friction for

*Pure Rolling*and mass=m & strings are light and inextensible.Gravity is present.

Zig-zag lines in fig represents spring of spring constant \(k\) and \(2k\) as shown.

a is a square-free integer and the fraction is in simplest form.